The work done on a beta-minus particle when moving it from Y to X is found to b+roma+6 mi5tdt fwt-5h 7 xdu5e −10eV. Equipote 6fa+ xo7 mm55-t5trdh +tiduwntial lines are represented by the dashed lines in the diagram.
What is the work done by the field on an electron when it is moved from Z to W in the field shown?

  A point charge is moved between two parxbf8jjt *fy bz*:3c 5rallel plates separated by a distance of 5cm. The potential difference between the poc bxt3 b*f:r5*y8jjfzints is 50V.
What is the average electric field E?

  Which of the followingk;cl7r jlaw: jv*b7 5n correctly lists the fundamental forces in decreasing order of cvkw n7* la:;j7lrj 5bstrength?

  A beam of electrons enters a uniform electricivg dvm968 :sfm0i7 pu field, as shown.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is held stationary in a u/b zxd1uaf5oo 6t 7l/ p/by:fpniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be pbya5zfo/ l7t6:1 uxb/o p fd/done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the brundsyr1 ( d3h21b g,electric field lines arou3,u12 rr hy1nsg(dbdb nd each charge.

Which of the following statements is correct?
I. The charge q is positive.
II. The charge q is equal in magnitude to +Q.
III. The electric field magnitude near the charge q is greater than the magnitude of the field near the charge +Q.

  A positive and a negative charge op))jybkc jsbi,c4 * xy :pjy-)f equal magnitude are located on the same horizo)4csy )y)p*ib,j j-:pycbkj xntal line.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a uniformly distributed positi -is5+zmtaacszkcm,j1 s fv7jz8 45p.ve charge is bent into a quarter-circle. What is the direction of the electric z1- c5zkt5jpa74mm+vz sa,jifs .s c8 field at point P?

  A non-conducting sphere with radius R carries a uniformly distributeqxldj83;v+ 6r;pdos37v p ft wd positive charge with charge per unit volume ρ.Point P is at a distance r from thef3t3; dr;o w6qj8vldxv7+s p p center of the sphere.


The electric field outside this sphere is given by $E_{out}$ = $\frac{ρR^3}{​3ϵ_0​r^2}$
While the electric field inside the sphere is given by $E_{in}$ = $\frac{ρr}{​3ϵ_0​}$
Where $ϵ_0$​ is the free space permittivity.
The radius of the sphere is 2.0 cm.
1.Calculate ρ when the charge on the sphere is 0.1 μC. ρ =    $\times10^−3\,Cm^{−3}$
2.Determine the electric field at point P, when =r=3cm. E =    $\times10^5\,NC^{−1}$
3.In the space provided, sketch the variation of electric field E with the distance from the center of the sphere r.


A positive charge is released from the surface of the sphere.
4.Describe the motion of this released charge.

  The diagram shows the equipotential lines in a field : 9e9( vifaao,lobp,jdue to A and B. What may be reeojalboa9f:9 pv, (,ipresented by A and B?

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters an electric field represented by the equipotentia7 y5 kagobz.ijw1q:.k l lines shown by the lines in the diagram. The electron’s path is shown by the j:yg 5z.k .7wi bakqo1dotted line.

What is the path of an alpha particle entering the same field with the same velocity as the electron?

  An atom is being modeled with an electron assumed to be orbiting2vd,l,qj 4b ga the nucleus in the first energy level with a speed2bqdg ,4jl,va of  $2.18\times10^6ms^{-1}$
The orbital radius of the ground state, in m, is given by
$r=(0.53\times10^{−10})n^2$
Where
$n$ = order of the energy level.
1.Determine the charge of the nucleus. q =    $\times10^{−19}$C
2.(1)The electron moves to the second energy level where it orbits with a kinetic energy of $5.44\times10^{−19}\,J$.
(2)Explain whether the centripetal acceleration increases, decreases or stays the same.
Calculate the orbital period of the electron in the second energy level. T =    $10^{−15}\,s$

Two positive charges 2Q and Q are located ae6)b ztqfflcj: auc*z ffj/(86k4f2)bv 0osas shown in the diagram. Some of the electric field l6fje(fa: zkb/*z lqftu2fso)8jcb f6a 4) cv 0ines due to the charges are shown on the diagram. Points P and S are two points as located on the diagram.



1.Define the term electric potential.
2.Sketch the equipotential line that passes through point P.
3.A positive charge is moved from point P to point S. State and explain how the electric potential energy changes due to this move.

  Which of the following w0hihm/5 sf wks0bn80 pairs of graphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distai0nm 0w0/fskwh8 hb5snce from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of ;m(htgfr 0lps z o23h.electric potential difference?fp rtgm (lo30h.z ;h2s

  Two point charges of −4.0μC andbll- bd. 7z r/mcz4vq) 88.0μC are separated by a distance r=2.0cm as shz 7)m /rb.v4lczq l-bdown in the diagram

1.State what is meant by electric field strength.
2.Calculate the magnitude of the electrostatic force exerted on each charge. F =    N
3.Three points A, B and C are at the regions shown in the diagram.

(1)Deduce which point(s) could have zero electric field. Explain your reasoning.
(2)Calculate the distance(s) from charge q1​ to the point(s) of zero electric field. X =    cm
(3)The two charges are inserted in a water tank separated by the same distance as in air.The permittivity of water is 80 times that of free space.

Discuss what change, if any, will occur in the location of the point(s) of zero electric field in this case. Justify your answer.
4.The charges are removed from the water tank, and $q_1​$ is replaced by another charge that is identical to $q_2$​.
Point P is at equidistance d from both charges as shown.

Draw an arrow indicating the direction of the electric field at point P.

1.Define electric potentias *11hf q3tvdrl energy.
2.Two parallel plates are at potentials −2V and +12V as shown in the diagram.

On the diagram, sketch
（1）The pattern of electric field lines between the two plates
（2）The equipotential line which represents zero volts.
3.Calculate the work done by the electric field on a charge of −6.0μC when it is moved from plate B to plate A.

  A positive charge Q and four points on equipotezm jr44q.7i :hkhev0 fntial lines are represented in the diagram sh h70 j h4zqmv4i:ef.rkown.
A negative ion is moved from location 1 to 2, then to 3 and finally to 4. Which of the following gives the correct nature of the net work done on the ion during each section of this movement?

  The diagram shows the equipotential surfacm2wljg g5f;v /1kk j84c m9qjces of two charges.

Which of the following can be the directions of the electric field at points A and B?

  A charge of X and a chac 4a2genseht.,c o *w7rge of 20nC are held at a fixed distance.

A point where the electric field is zero can only be found in region 1. Which of the following statements is true about the charge on X

  Two charges separated by a distance r are placed in a medium with permittivity 3vmgf8iv)2f tϵ. The charges are then moved to air so3vm2 gtvif) 8f that they have the same force between them as that in the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released p5lu cqm ks)(3o wn5p,from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential differencppsko5 w)cmn lq3,(u 5e between the two plates is V, and the electron reaches the positive plate with a speed v.
What would be the final speed of the electron if the distance between the plates remained the same, but the potential difference between them were doubled?

  A proton and another object with charge +e exert electrical andp zwe10hu7t;kwf ojf 4a5:a 6omib:e6 gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on it isj4hpoo bma;05we6zufa 71 k6 ::ietwf zero?

  Equipotential lines representin xkt;, gmqq xg euz6;p)h06v+sshw:s)g the corresponding potentials are shown in the diagram, in an electrixtq; s ghz+s:v ))egw mpx,; usk660qhc field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges pm-pvli;4 c d)$q_1$​ and $q_2$​ are separated by a distance d. A third positive charge q is placed at a distance $\frac{d}{4}$ from $q_1$​ so that the charge q is in equilibrium.


What is the ratio $\frac{q_1}{q_2}$

  Four fixed charged point particles are at- * xj cqguu6f3fs3a4t the vertices of a rectangle. Which arrow represents the net electric field at the center of t43jut3asxf q6*g - cfuhe rectangle?

  Four identical negatively charged objects move in an eldz)fn) xstkn skf(y4bc-2s7 5ectric field along paths -)n 72s bdftkfcy s )skx5(4nzshown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinetic energy.

What is the relationship between the kinetic energies of the objects at the end of their paths?

  Two parallel plates are separatekqkehi 6zuotpr.a7: )yjr,t m/9p78 nd by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gk t k ,)ouqr6:ajhep9 87 irztny.m/p7ains a speed v when it reaches the opposite plate.
The separation of the plates is decreased to $\frac{d}{2}$​.
What would be the speed gained by an alpha particle released from the positive plate, when it reaches the opposite plate?

  Two positive charges of magnitude 2C an 8d.au66*av1 a7jseymtds ey0t,(2kxf e wi:vd 8C respectively are placed 9cm apart. A third charge is introduced between t8auje*vtde w6ms:e a.20,xyf1ktyv6 7iads(he two charges as shown below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equipotential lines duv/+rsv 7 ldz,f2bix1r e to a point charge.
A second point charge of 0.8μC is moved from X to Y.
What is the work done on this charge?

  In the following diagram, the size of t +5v e z i)5qjrfh (a:i151qspu0ye5jdaoys:she charges is small compared to the distance R.e ()j+ovhyu1yr05 55qaa ss fi 1:eqzjpsi:5d



What is the direction of the force on the charge in the center?

  Estimate the speed of an alpha particle that has csw7x wv;fy /jpa*hf.2jf(c3+m a5wg accelerated from rest in a uniform f 2;+.w gfchwj f a*acx/mjpvy(w375s electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two pointwf o-vl:my1x3 0t 9ryo electric chaw-0 myxotfvo3r9y1l : rges $q_1$​ and $q_2$ located 4.0m apart. The distance r is defined to be zero at the location of $q_1$.

What is the ratio of $\frac{q_1}{q_2}$

  The graph shows the variation of the electric potential due to a *3w pb3dsps )2fhxdcz pba0+7point charge as a function the distance adpx +f) ch2 zs7 spw3bp*3d0br from its center.

Which of the following gives the work done by the electric field‾by the electric field​ on a charge of −3μC when it is moved from $r_1$​ to $r_2$​ ?

  A conducting sphere has a radius of 20cm and ajsah/ m ey(+ xa4c- ls/kvlx:2 charge of +3.2μC. Point A is usedc2 vxm4kjxa /- al/ly+ss:eh( to describe a location 20cm from the surface of the sphere.

1.Calculate the electric potential at the surface of the sphere. State the correct SI unit for your answer. V=    $\times10^5\,v$
2.(1)On the axes given, sketch the variation of the electric potential due to the sphere with distance from its surface‾from its surface​. Label point A on the graph you have drawn.


(2)Without calculation, outline how the electric field strength at A may be determined using the graph you have drawn
(3)A proton is initially held stationary at the surface of the sphere. The proton is moved from the surface of the sphere to point A. Calculate the work done on the proton. W =    $\times10^{-14}\,J$
3.The proton is released from point A. Outline the subsequent motion of the proton.

  Two point charges are separated by a distance r a: qu1u4s xved gc+irmg4/ 0.ogs shown.

The negative charge's acceleration is 3 times that of the positive charge.
What is the ratio $\frac{Gravitational force​}{Electrostatic force}$ between the two point charges?

  Four point charges are placed as shown on the corners of a squarenxj-+ a2 am8pl-dv)o t4 g.b +epbzm.a. Charges of +2Q and −Q, and unknown charges A and B are located as sel jo+)ga8+b4pava- n .-.dxb tm mpz2hown on the diagram.

At the center of the square, the total potential is zero, but the resultant electric field is not zero.
Which of the following is a possible combination for the charges A and B?